GCD of 172, 227, 827, 342 Calculator

Given Input numbers are 172, 227, 827, 342

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Divisors of 227

List of positive integer divisors of 227 that divides 227 without a remainder.

1, 227

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 172, 227, 827, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 172, 227, 827, 342 is 1.

Therefore, GCD of numbers 172, 227, 827, 342 is 1

Given Input Data is 172, 227, 827, 342

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 172 is 2 x 2 x 43

Prime Factorization of 227 is 227

Prime Factorization of 827 is 827

Prime Factorization of 342 is 2 x 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(172, 227) = 39044

GCD(172, 227) = ( 172 x 227 ) / 39044

GCD(172, 227) = 39044 / 39044

GCD(172, 227) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 342

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

GCD(1, 342) = 342 / 342

GCD(1, 342) = 1

GCD of 172, 227, 827, 342 is 1

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1. What is the GCD of 172, 227, 827, 342?

GCD of 172, 227, 827, 342 is 1

2. Where do I get the detailed procedure to find GCD of 172, 227, 827, 342?

You can find a detailed procedure to find GCD of 172, 227, 827, 342 on our page.

3. How to find GCD of 172, 227, 827, 342 on a calculator?

You can find the GCD of 172, 227, 827, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.